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Finding the Third Proportional to 323,673 and 718,086

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Solution

The third proportional to 323,673 and 718,086 is: 1,593,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,673 : 718,086 = 718,086 : x
  2. Step 2: Convert to fraction form
    323,673/718,086 = 718,086/x
  3. Step 3: Cross multiply
    323,673x = 718,086 × 718,086
  4. Step 4: Simplify right side
    323,673x = 515,647,503,396
  5. Step 5: Solve for x
    x = 515,647,503,396/323,673
  6. Step 6: Final answer
    x = 1,593,112.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.